Curated OER
Operations of Complex Numbers and Intro to DeMoivre's Theorem
Students solve problems with complex numbers. In this algebra lesson, students factor complex numbers and simplify equations using DeMoivre's Theorem. They add, subtract, multiply and divide using negative roots.
EngageNY
Exploiting the Connection to Cartesian Coordinates
Multiplication in polar form is nice and neat—that is not the case for coordinate representation. Multiplication by a complex number results in a dilation and a rotation in the plane. The formulas to show the dilation and rotation are...
Curated OER
More Complex Fraction Problems
If your fifth graders have mastered fractions, push them to the next level! They multiply fractions by whole numbers and decimals (in the form of money math). The worksheet provides space for pupils to write out their work, based on two...
EngageNY
Matrix Multiplication Is Not Commutative
Should matrices be allowed to commute when they are being multiplied? Learners analyze this question to determine if the commutative property applies to matrices. They connect their exploration to transformations, vectors, and complex...
Curated OER
Multiplying Decimal Numbers: Using Zeros as Placeholders
Explore decimals with upper graders. They solve problems from their textbook involving decimal multiplication. Afterward, as a class, they check their answers by comparing them to those projected with an overhead projector.
Curated OER
Complex and Imaginary Numbers
For this complex and imaginary numbers worksheet, students multiply and divide imaginary and complex numbers. They solve equations containing imaginary numbers. Students determine the roots, sum and product of the roots and the roots of...
Curated OER
Quaternions
In this quaternions worksheet, students solve and complete 7 different problems. First, they read and identify quaternions as expressions in a given form of ordinary real numbers. Then, students add and subtract a few problems by doing...
EngageNY
Multiplying and Dividing Rational Expressions
Five out of four people have trouble with fractions! After comparing simplifying fractions to simplifying rational expressions, pupils use the same principles to multiply and divide rational expressions.
Curated OER
Chapter 9 - Objective 3.1 Radicals & Imaginary Numbers
In this imaginary numbers worksheet, students solve radical equations containing imaginary numbers. They multiply, divide, subtract and add problems. This one-page worksheet contains ten problems.
Mathematics Vision Project
Module 3: Numbers and Operations
Bring some concrete reasoning to the skills of multiplying and combining terms. Using various strategies, the six activities in the module provide practice for the skills of adding, subtracting, multiplying, and diving polynomials. The...
Curated OER
Exponents - Week 1
In this exponent worksheet, students add, subtract, multiply and divide exponents. They solve problems containing negative exponents, fractional exponents, and polynomials. This two-page worksheet contains eight problems.
Charleston School District
Estimating Values of Expressions
You can't evaluate an irrational root expression without a calculator—or can you? Scholars estimate the value of roots within an expression to approximate the value of the expression. Expressions include a mix of square roots and whole...
California Education Partners
Least and Greatest
Squares can be magic. Pupils use their knowledge of addition of positive and negative rational numbers to create a 3 X 3 magic square where the sums are 1. Scholars create addition and multiplication expressions with a set of rational...
Illustrative Mathematics
Margie Buys Apples
One of the most common, everyday applications of math is dealing with money. This single problem calculating how much change Margie receives is more involved than it appears at first glance. An understanding of how fractions and decimals...
Curated OER
Math in English Skills VIII Exercise Book
For some learners, fractions are the bane of fifth- and sixth-grade existence. Use this fantastic packet to help those in remediation for mathematics. The packet contains 20 worksheets with answer keys, and covers adding, subtracting,...
EngageNY
Polynomial, Rational, and Radical Relationships
This assessment pair goes way beyond simple graphing, factoring and solving polynomial equations, really forcing learners to investigate the math ideas behind the calculations. Short and to-the-point questions build on one another,...
Curated OER
Mixed Expressions and Complex Fractions
Students are introduced to mixed expressions and complex fractions. They work through several problems with the instructor and then complete a worksheet.
West Contra Costa Unified School District
Connecting Fractions and Rational Expressions
Teach class members to work with rational expressions using their knowledge of fractions. The lesson plan starts with a warm-up of rational expressions at four different levels of complexity. The different levels continue throughout the...
CCSS Math Activities
Smarter Balanced Sample Items: 7th Grade Math – Target B
Fraction and integer operations follow the same rules. Assess the depth of understanding with operations with rational numbers using a presentation from the Grade 7 Claim 1 Slideshow series. A set of slides presents 12 question and...
Curated OER
Points in a Complex Plane -- Lecture
Students review plotting points on a coordinate plane. Individually, they add and subtrace complex numbers and graph them in a complex plane. They follow along a worksheet while their teacher lectures on the new material and solve...
Curated OER
Standard Form
In this standard form worksheet, 11th graders solve and complete 25 different types of problems. First, they write the value of each number given using standard form. Then, students add or multiply each given equation and write in...
Curated OER
Extra Practice 39: Multiplying, Dividing, and Simplifying Radical Expressions
In this radical worksheet, students use multiplication and division to solve equations. All expressions on this worksheet represent non-negative numbers. Radicals include exponents and complex fractions. This two-page worksheet contains...
Curated OER
Substitution Formula
In this substitution formula worksheet, students solve 9 various types of problems related to applying the substitution formula. First, they use a number line to add or subtract negative integers. Then, students substitute numbers for...
Curated OER
Equations and Inequalities
Students in a college algebra class use graphs to solve inequalities. Using the coordinate graphing system, they represent the relationship between x and y intercepts. They practice solving equations with complex numbers and locate...